J. An proved that for any s,t ≥ 0 such that s+t=1, Bad (s,t)is (34√2)-1-winning for Schmidt's game. We show that using the main lemma from [An] one can derive a stronger result, namely that Bad(s,t) is hyperplane absolute winning in the sense of [BFKRW]. As a consequence, one can deduce the full Hausdorff dimension of Bad(s,t) intersected with certain fractals.
- Diophantine approximation
- Schmidt's conjecture
- Schmidt's game
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory